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Finding the Fourth Proportional to 636.36, 878.34 and 415.88

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Solution

The fourth proportional to 636.36, 878.34 and 415.88 is: 574.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.36 : 878.34 = 415.88 : x
  2. Step 2: Convert to fraction form
    636.36/878.34 = 415.88/x
  3. Step 3: Cross multiply
    636.36x = 878.34 × 415.88
  4. Step 4: Simplify right side
    636.36x = 365,284.04
  5. Step 5: Solve for x
    x = 365,284.04/636.36
  6. Step 6: Final answer
    x = 574.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.